9138959908416 has 672 divisors, whose sum is σ = 30431982637056. Its totient is φ = 2700262656000.

The previous prime is 9138959908409. The next prime is 9138959908433. The reversal of 9138959908416 is 6148099598319.

9138959908416 is a `hidden beast` number, since 9 + 1 + 38 + 95 + 9 + 90 + 8 + 416 = 666.

9138959908416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821031171 + ... + 821042301.

It is an arithmetic number, because the mean of its divisors is an integer number (45285688448).

Almost surely, 2^{9138959908416} is an apocalyptic number.

9138959908416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9138959908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215991318528).

9138959908416 is an abundant number, since it is smaller than the sum of its proper divisors (21293022728640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9138959908416 is a wasteful number, since it uses less digits than its factorization.

9138959908416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11333 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 9138959908416 in words is "nine trillion, one hundred thirty-eight billion, nine hundred fifty-nine million, nine hundred eight thousand, four hundred sixteen".